Using the quadratic formula to solve 11x2 – 4x = 1, what are the values of x?
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Answer: the height of the pole is 16.1 m.
Step-by-step explanation:
The scenario is illustrated in the attached photo.
x represents the height of the pole.
y represents the distance from the foot of one stabilizing wire to the foot of the pole.
30 - y represents the distance from the foot of the other stabilizing wire to the foot of the pole.
In solving the triangles, we would apply the tangent trigonometric ratio which is expressed as
Tan θ, = opposite side/adjacent side.
Considering triangle ACD,
Tan 60 = x/y
x = ytan60 = y × 1.732
x = 1.732y- - - - - - - - -1
Considering triangle BCD,
Tan 38 = x/(30 - y)
x = (30 - y)tan38 = 0.781(30 - y)
x = 23.43 - 0.781y- - - - - - - - -2
Substituting equation 1 into equation 2, it becomes
1.732y = 23.43 - 0.781y
1.732y + 0.781y = 23.43
2.513y = 23.43
y = 23.43/2.513
y = 9.3
x = 1.732y = 1.732 × 9.3
x = 16.1 m
Our friend's mistake when wanting to make a new mixture of pink paint is that she is only going to add 2 parts of white paint, the correct formula would be 3.
<h3>How to calculate how much paint you need to make 3 gallons of Pink paint?</h3>To mix 3 gallons of pink paint we must take into account the following information:
- 1 gallon of pink paint is equal to 3 parts red paint and 1 part white paint.
To find out how many parts we need to prepare 3 gallons of pink paint we must multiply the mix values for a gallon by 3.
Red paint:
- 3 x 3 = 9
White paint:
- 1 x 3 = 3
Based on the above, we need to use 3 parts white paint and 9 parts red paint to make 3 gallons of pink paint.
Note: This question is incomplete because the graph is missing. Here is the graph.
Learn more about painting in: brainly.com/question/25795412
